Finding the Third Proportional to 83,518 and 179,961

Step by Step Solution

1. Step 1: Write the proportion equation
   83,518 : 179,961 = 179,961 : x
2. Step 2: Convert to fraction form
   83,518/179,961 = 179,961/x
3. Step 3: Cross multiply
   83,518x = 179,961 × 179,961
4. Step 4: Simplify right side
   83,518x = 32,385,961,521
5. Step 5: Solve for x
   x = 32,385,961,521/83,518
6. Step 6: Final answer
   x = 387,772.23